Finding the Third Proportional to 2,394.38 and 3,698.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,394.38 : 3,698.06 = 3,698.06 : x
2. Step 2: Convert to fraction form
   2,394.38/3,698.06 = 3,698.06/x
3. Step 3: Cross multiply
   2,394.38x = 3,698.06 × 3,698.06
4. Step 4: Simplify right side
   2,394.38x = 13,675,666.25
5. Step 5: Solve for x
   x = 13,675,666.25/2,394.38
6. Step 6: Final answer
   x = 5,711.58